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A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

Machine learning algorithms find frequent application in spatial prediction of biotic and abiotic environmental variables. However, the characteristics of spatial data, especially spatial autocorrelation, are widely ignored. We hypothesize…

Applications · Statistics 2019-12-11 Hanna Meyer , Christoph Reudenbach , Stephan Wöllauer , Thomas Nauss

In the last two decades, considerable research has been devoted to a phenomenon known as spatial confounding. Spatial confounding is thought to occur when there is multicollinearity between a covariate and the random effect in a spatial…

Methodology · Statistics 2024-06-25 Kori Khan , Candace Berrett

Methods for estimating heterogeneous treatment effect in observational data have largely focused on continuous or binary outcomes, and have been relatively less vetted with survival outcomes. Using flexible machine learning methods in the…

Applications · Statistics 2021-07-09 Liangyuan Hu , Jiayi Ji , Fan Li

Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsistencies and imperfections in heterogeneous data while also…

Machine Learning · Computer Science 2022-05-10 Zhengjing Ma , Gang Mei , Salvatore Cuomo , Francesco Piccialli

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

Populations and Evolution · Quantitative Biology 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

Occupancy models involve both the probability a site is occupied and the probability occupancy is detected. The homogeneous occupancy model, where the occupancy and detection probabilities are the same at each site, admits an orthogonal…

Methodology · Statistics 2018-08-10 N. Karavarsamis , R. M. Huggins

Appropriate models for spatially autocorrelated data account for the fact that observations are not independent. A popular model in this context is the simultaneous autoregressive (SAR) model that allows to model the spatial dependency…

Methodology · Statistics 2017-07-12 A. Kreuzer , T. Erhardt , T. Nagler , C. Czado

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

Temporal Heterogeneous Networks play a crucial role in capturing the dynamics and heterogeneity inherent in various real-world complex systems, rendering them a noteworthy research avenue for link prediction. However, existing methods fail…

Social and Information Networks · Computer Science 2025-12-12 Yu Tai , Xinglong Wu , Hongwei Yang , Hui He , Duanjing Chen , Yuanming Shao , Weizhe Zhang

Recent studies in ecology and epidemiology indicate that it is important to include spatial heterogeneity, synchronization and seasonality in the theoretical models. In this work, spatial heterogeneity is introduced via coupled map lattices…

Statistical Mechanics · Physics 2007-05-23 E. Ahmed , A. S. Hegazi , A. S. Elgazzar , H. M. Yehia

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Sensors are the key to environmental monitoring, which impart benefits to smart cities in many aspects, such as providing real-time air quality information to assist human decision-making. However, it is impractical to deploy massive…

Machine Learning · Computer Science 2024-04-24 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Li Liu , Yifang Yin , Roger Zimmermann

Many attempts to relate animal foraging patterns to landscape heterogeneity are focused on the analysis of foragers movements. Resource detection patterns in space and time are not commonly studied, yet they are tightly coupled to landscape…

Populations and Evolution · Quantitative Biology 2012-04-24 Octavio Miramontes , Denis Boyer , Frederic Bartumeus

Autonomous sailboats are well suited for long-duration ocean observation due to their wind-driven endurance. However, their performance is highly anisotropic and strongly influenced by inhomogeneous and time-varying wind and current fields,…

Robotics · Computer Science 2026-02-19 Yang An , Zhikang Ge , Taiyu Zhang , Jean-Baptiste R. G. Souppez , Gaofei Xu , Zhengru Ren

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

We study the spatial pattern formation and emerging long range correlations in a model of three species coevolving in space and time according to stochastic contact rules. Analytical results for the pair correlation functions, based on a…

adap-org · Physics 2009-10-28 Marek Grabowski , R. E. Camley

Technological advances have led to a strong increase in the number of data collection efforts aimed at measuring co-presence of individuals at different spatial resolutions. It is however unclear how much co-presence data can inform us on…

Physics and Society · Physics 2018-05-10 Mathieu Génois , Alain Barrat

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

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